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Finding the Third Proportional to 446,980 and 976,904

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Solution

The third proportional to 446,980 and 976,904 is: 2,135,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,980 : 976,904 = 976,904 : x
  2. Step 2: Convert to fraction form
    446,980/976,904 = 976,904/x
  3. Step 3: Cross multiply
    446,980x = 976,904 × 976,904
  4. Step 4: Simplify right side
    446,980x = 954,341,425,216
  5. Step 5: Solve for x
    x = 954,341,425,216/446,980
  6. Step 6: Final answer
    x = 2,135,087.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.